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22011211102211 = 234144383962801
BaseRepresentation
bin1010000000100111000100…
…11010110011100000000011
32212221020210010222100122122
411000103202122303200003
510341112430020232321
6114451451043554455
74431154221230102
oct500234232634003
985836703870578
1022011211102211
1170169a1921951
122575b0608ba2b
13c388574161a6
145614c3a50039
152828672018ab
hex1404e26b3803

22011211102211 has 32 divisors (see below), whose sum is σ = 23610014991360. Its totient is φ = 20469564544000.

The previous prime is 22011211102171. The next prime is 22011211102229. The reversal of 22011211102211 is 11220111211022.

It is a cyclic number.

It is not a de Polignac number, because 22011211102211 - 26 = 22011211102147 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22011211102211.

It is not an unprimeable number, because it can be changed into a prime (22011211152211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350460011 + ... + 350522811.

It is an arithmetic number, because the mean of its divisors is an integer number (737812968480).

Almost surely, 222011211102211 is an apocalyptic number.

22011211102211 is a deficient number, since it is larger than the sum of its proper divisors (1598803889149).

22011211102211 is a wasteful number, since it uses less digits than its factorization.

22011211102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64147.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22011211102211 its reverse (11220111211022), we get a palindrome (33231322313233).

The spelling of 22011211102211 in words is "twenty-two trillion, eleven billion, two hundred eleven million, one hundred two thousand, two hundred eleven".

Divisors: 1 23 41 443 839 943 10189 18163 19297 34399 62801 371677 417749 791177 1444423 2574841 8548571 15238757 27820843 52690039 59221343 350491411 639879389 1140654563 1211870897 2160291599 23341687277 26235054949 49686706777 536858807371 957009178357 22011211102211